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Identical expressions
(x^ six - two x^ five +x^ four + two x^2-2x+ one)/(x^ four -2x^ three +x^2)
(x to the power of 6 minus 2x to the power of 5 plus x to the power of 4 plus 2x squared minus 2x plus 1) divide by (x to the power of 4 minus 2x cubed plus x squared )
(x to the power of six minus two x to the power of five plus x to the power of four plus two x squared minus 2x plus one) divide by (x to the power of four minus 2x to the power of three plus x squared )
(x6-2x5+x4+2x2-2x+1)/(x4-2x3+x2)
x6-2x5+x4+2x2-2x+1/x4-2x3+x2
(x⁶-2x⁵+x⁴+2x²-2x+1)/(x⁴-2x³+x²)
(x to the power of 6-2x to the power of 5+x to the power of 4+2x to the power of 2-2x+1)/(x to the power of 4-2x to the power of 3+x to the power of 2)
x^6-2x^5+x^4+2x^2-2x+1/x^4-2x^3+x^2
(x^6-2x^5+x^4+2x^2-2x+1) divide by (x^4-2x^3+x^2)
(x^6-2x^5+x^4+2x^2-2x+1)/(x^4-2x^3+x^2)dx
Similar expressions
(x^6-2x^5+x^4+2x^2+2x+1)/(x^4-2x^3+x^2)
(x^6-2x^5-x^4+2x^2-2x+1)/(x^4-2x^3+x^2)
(x^6-2x^5+x^4+2x^2-2x+1)/(x^4+2x^3+x^2)
(x^6+2x^5+x^4+2x^2-2x+1)/(x^4-2x^3+x^2)
(x^6-2x^5+x^4+2x^2-2x-1)/(x^4-2x^3+x^2)
(x^6-2x^5+x^4+2x^2-2x+1)/(x^4-2x^3-x^2)
(x^6-2x^5+x^4-2x^2-2x+1)/(x^4-2x^3+x^2)

Solving integrals/ (x^6-2x^5+x^4+2x^2-2x+1)/(x^4-2x^3+x^2)

Integral of (x^6-2x^5+x^4+2x^2-2x+1)/(x^4-2x^3+x^2) dx

The solution

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  1                                   
  /                                   
 |                                    
 |   6      5    4      2             
 |  x  - 2*x  + x  + 2*x  - 2*x + 1   
 |  ------------------------------- dx
 |            4      3    2           
 |           x  - 2*x  + x            
 |                                    
/                                     
0

$$\int\limits_{0}^{1} \frac{\left(- 2 x + \left(2 x^{2} + \left(x^{4} + \left(x^{6} - 2 x^{5}\right)\right)\right)\right) + 1}{x^{2} + \left(x^{4} - 2 x^{3}\right)}\, dx$$

Integral((x^6 - 2*x^5 + x^4 + 2*x^2 - 2*x + 1)/(x^4 - 2*x^3 + x^2), (x, 0, 1))

The answer (Indefinite) [src]

  /                                                        
 |                                                         
 |  6      5    4      2                                  3
 | x  - 2*x  + x  + 2*x  - 2*x + 1          1     1      x 
 | ------------------------------- dx = C - - - ------ + --
 |           4      3    2                  x   -1 + x   3 
 |          x  - 2*x  + x                                  
 |                                                         
/

$$\int \frac{\left(- 2 x + \left(2 x^{2} + \left(x^{4} + \left(x^{6} - 2 x^{5}\right)\right)\right)\right) + 1}{x^{2} + \left(x^{4} - 2 x^{3}\right)}\, dx = C + \frac{x^{3}}{3} - \frac{1}{x - 1} - \frac{1}{x}$$

Simplify

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The answer [src]

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The graph

Integral of (x^6-2x^5+x^4+2x^2-2x+1)/(x^4-2x^3+x^2) dx

Use the examples entering the upper and lower limits of integration.

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Integral of (x^6-2x^5+x^4+2x^2-2x+1)/(x^4-2x^3+x^2) dx

Limits of integration:

The graph:

Piecewise:

The solution